Prepare Lobster: Fill a large pot with water and bring it to a boil. Add the lobsters and parboil for 5 minutes. Remove and let cool before cutting in half lengthwise.

Make Sauce: Melt butter in a skillet, sauté garlic, then add wine and mustard, simmering for 5 minutes. Stir in heavy cream and cook until thickened for 8-10 minutes.

Combine Ingredients: Gently fold in chopped lobster meat into the sauce, ensuring it's well-coated.

Assemble Lobster Halves: Preheat broiler, stuff lobster shells with the mixture, and top with Gruyère cheese.

Broil and Finish: Broil lobsters for 5-7 minutes until cheese is golden. Watch closely to prevent burning.

Serve and Garnish: Transfer to a platter, garnish with fresh herbs and a drizzle of lemon juice.